Question

If A and B are the zeroes of P(x)= 4x

2

+3x+7, then find 1/A + 1/B.​

Answer 1

Answer:

– 3/7

Step-by-step explanation:

p(x) = 4x2 + 3x + 7 α + β

= – b/a = – 3x/4x2

= – 3/4x ………. (i)

αβ = c/a = 7/4x2 …………. (ii)

Dividing (i) from (ii), We get,

(3/4x)/(7/x^2)

=> (-3*4x^2)/(4x*7)

=> -3/7x

So,

1/α + 1/β = – 3/7